6881132544 has 360 divisors, whose sum is σ = 21964375440. Its totient is φ = 1903165440.

The previous prime is 6881132539. The next prime is 6881132563. The reversal of 6881132544 is 4452311886.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6881132496 and 6881132505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77316052 + ... + 77316140.

It is an arithmetic number, because the mean of its divisors is an integer number (61012154).

Almost surely, 2^6881132544 is an apocalyptic number.

6881132544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6881132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982187720).

6881132544 is an abundant number, since it is smaller than the sum of its proper divisors (15083242896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6881132544 is a wasteful number, since it uses less digits than its factorization.

6881132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 6881132544 is about 82952.5921475634. The cubic root of 6881132544 is about 1902.0414386798.

The spelling of 6881132544 in words is "six billion, eight hundred eighty-one million, one hundred thirty-two thousand, five hundred forty-four".